Matrix: QCD/conf5_0-4x4-18
Description: Quantum chromodynamics conf5.0-00l4x4-1800
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 3,072 |
number of columns | 3,072 |
nonzeros | 119,808 |
structural full rank? | yes |
structural rank | 3,072 |
# of blocks from dmperm | 2 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 92% |
numeric value symmetry | 46% |
type | complex |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | B. Medeke |
editor | R. Boisvert, R. Pozo, K. Remington, B. Miller, R. Lipman, R. Barrett, J. Dongarra |
date | 1999 |
kind | theoretical/quantum chemistry problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,015,776 |
Cholesky flop count | 7.8e+08 |
nnz(L+U), no partial pivoting, with AMD | 2,028,480 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,047,318 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,789,278 |
SVD-based statistics: | |
norm(A) | 6.91391 |
min(svd(A)) | 0.00552874 |
cond(A) | 1250.54 |
rank(A) | 3,072 |
sprank(A)-rank(A) | 0 |
null space dimension | 0 |
full numerical rank? | yes |
singular values (MAT file): | click here |
SVD method used: | s = svd (full (A)) ; |
status: | ok |
For a description of the statistics displayed above, click here.
Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.